Collision-enhanced friction of a bouncing ball on a rough vibrating surface

Abstract

We describe experiments and simulations to investigate the dynamics of a ball bouncing on a rough vibrating surface. Directly measuring the impulse due to each bounce we find that the frictional interaction with the surface is strongly enhanced near to the side wall. The enhanced dissipation arises as a consequence of the coupling between the collision, rotation and surface friction. This dissipation, which for our experimental conditions was estimated to be up to three times larger than the more obvious inelastic collision, can result in an enhanced probability density near boundaries and particle–particle spatial correlations. Our findings imply that the effective particle collision properties cannot be considered independently of the surface’s frictional properties.

Metamaterials for a Passive Wave Control and Energy Absorption Using Soft-Walled Billiard Effects

“…The model is intentionally conservative and such that every cell has just one inclusion to avoid the influence of damping and thermodynamic effects of large numbers. Considering inclusions as 3D spherical rigid bodies colliding with container walls would represent quite a challenging task of rigid-body dynamics [95,119,120]. Instead, the present study follows a point-wise approach to the inclusion dynamics in line with the theory of billiards.…”